This study aimed to investigate the association between the optimum power load (OPL) in the bench press (BP), shoulder press (SP), and prone bench pull (PBP) exercises and acceleration and speed performances in eleven National Team wheelchair basketball (WB) players with similar levels of disability. All athletes were previously familiarized with the testing procedures, which were performed on the same day during the competitive period of the season. Firstly, athletes performed a wheelchair 20-m sprint assessment and, subsequently, a maximum power load test to determine the mean propulsive power (MPP) in the BP, SP, and PBP. A Pearson product-moment correlation was used to examine the relationships between sprint velocity (VEL), acceleration (ACC), and the MPP in the three exercises. The significance level was set as P< 0.05. Large to very large significant associations were observed between VEL and ACC, and the MPP in the BP, SP, and PBP exercises (r varying from 0.60 to 0.77; P< 0.05). The results reveal that WB players who produce more power in these three exercises are also able to accelerate faster and achieve higher speeds over short distances. Given the key importance of high and successive accelerations during wheelchair game-related maneuvers, it is recommended that coaches frequently assess the OPL in BP, SP, and PBP in WB players, even during their regular training sessions.